Camera moving at same speed as object
Parent the camera to the object to follow (or to any child of the object to follow).

As each other child the camera will inherit the transformations (loc, rot, scale) from the parent.


Ensure the parent is moving as you expect.
Ensure you parent the right camera


You can move the camera (e.g. with the motion actuator) while parented

As a gimmick you can enable slow "parent". This makes the "follow" a bit softer, providing better camera feeling.